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Refractive Index

The wavelengt...

Question

The wavelength of a certain color of light in a vacuum is 572nm. What is its wave length in diamond, which has an index of refraction of 2.42?

A

236 nm

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B

1384 nm

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C

3350 nm

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D

97.7 nm

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E

574.42 nm

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Solution

The correct option is D 236 nm
Wavelength of light in vacuum $λ_{v a c u u m} = 572$ nm
Refractive index of diamond $n_{d i a m o n d} = 2.42$
Thus wavelengthof light in diamond $λ_{d i a m o n d} = \frac{λ_{v a c u u m}}{n_{d i a m o n d}} = \frac{572}{2.42} = 236$ nm

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